Numeracy Foundation June 2019 Unit 1 Q4
4. A local community group is going to have a stall selling lemonade at a summer fete.
The group needs to buy cups and bottles of lemonade.
Each bottle of lemonade contains 1000 ml and costs 90p.
One packet of 100 cups costs £4.
The group plans to buy enough to sell 300 cups of lemonade.
Each cup will contain 200 ml of lemonade.
(a)
In this part of the question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
How much will it cost to buy everything that is needed to sell 300 cups of lemonade? [6 + 2 OCW]
(b) The community group sells each cup of lemonade for 50p.
How much profit will the community group make if they sell all 300 cups of lemonade? [3]
How much profit will the community group make if they sell all 300 cups of lemonade? [3]
| Scheme | Marks | Comments |
|---|---|---|
| (lemonade bought =) 200 × 300 60000 (ml) (number of bottles needed=) 60 | M1 A1 B1 | Ignore units at this stage FT ‘their 60000’ ÷ 1000 correctly evaluated. This may be implied in the cost of the bottles. |
| (cost of bottles 60 × 90p=) 5400(p) or (£)54 | B1 | Ignore units at this stage FT ‘their 60’ × 90 correctly evaluated. |
| (cost of 3 packets of cups=) (£)12 or 1200(p) (Total cost=) (£)66 or 6600 (p) | B1 B1 | If units are given they must be correct. FT ‘their (£)12’ + ‘their cost of their number of bottles’ correctly evaluated provided consistent units are used. |
| Organisation and communication | OC1 | For OC1, candidates will be expected to: • present their response in a structured way • explain to the reader what they are doing at each step of their response • lay out their explanations and working in a way that is clear and logical • write a conclusion that draws together their results and explains what their answer means |
| Writing | W1 | For W1, candidates will be expected to: • show all their working • make few, if any, errors in spelling, punctuation and grammar • use correct mathematical form in their working • use appropriate terminology, units, etc. |
Alternative
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| (Number of cups per bottle 1000 ÷ 200 =) 5 (number of bottles needed=) 300 ÷ 5 60 | B1 M1 A1 | This may be embedded e.g. 1000 ÷ 5 = 200 FT 300 ÷ 'their 1000 ÷ 200' FT provided correctly evaluated. This may be implied in the cost of the bottles. |
| (cost of bottles 60 × 90p=) 5400(p) or (£)54 | B1 | Ignore units at this stage FT ‘their 60’ × 90 correctly evaluated. |
| (cost of 3 packets of cups=) (£)12 or 1200(p) (Total cost=) (£)66 or 6600 (p) | B1 B1 | If units are given they must be correct. FT ‘their (£)12’ + ‘their cost of their number of bottles’ correctly evaluated provided consistent units are used. |
The alternative method is printed in italics in the original.
Corrected by Westie's Workshop
- The board's mark scheme printed “e.g. 100 ÷ 5 = 200”. Changed to “e.g. 1000 ÷ 5 = 200” because 100 ÷ 5 is 20, not 200; the calculation meant is 1000 ml ÷ 5 cups = 200 ml.
Original: see the board's mark scheme PDF (link above).
| Scheme | Marks | Comments |
|---|---|---|
| If incorrect units not penalised in (a), penalise -1 once only for inconsistent or incorrect units in (b) | ||
| 300 × 50 or 300 × (£)0.5(0) | M1 | |
| 15000 (p) or (£)150 | A1 | Ignore units given at this stage |
| (profit=150 - 66) (£)84 or 8400(p) | B1 | Mark final answer FT ‘their 150’ - ‘their 66’ from (a) correctly evaluated provided consistent units are used. If ‘their 66’ is > ‘their 150’ allow negative answers from their workings or a statement following their workings that says this is a loss (not a profit). |